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Finding the Fourth Proportional to 102.21, 141.08 and 60.81

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Solution

The fourth proportional to 102.21, 141.08 and 60.81 is: 83.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.21 : 141.08 = 60.81 : x
  2. Step 2: Convert to fraction form
    102.21/141.08 = 60.81/x
  3. Step 3: Cross multiply
    102.21x = 141.08 × 60.81
  4. Step 4: Simplify right side
    102.21x = 8,578.77
  5. Step 5: Solve for x
    x = 8,578.77/102.21
  6. Step 6: Final answer
    x = 83.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.